Two large metal plates of area 0.7 m2 face each other. They are 5.1 cm apart and have equal but opposite charges on their inner surfaces. If the magnitude E of the electric field between the plates is 55 N/C, what is the magnitude of the charge on each plate? Neglect edge effects.

Respuesta :

Explanation:

The given data is as follows.

    Area (A) = 0.7 [tex]m^{2}[/tex].

  Electric field between the plates, (E) = 55 N/C

Since, electric field is related to surface charge density as follows.

          [tex]\sigma = \frac{Q}{A}[/tex]

Also,    E = [tex]\frac{\sigma}{\epsilon_{o}}[/tex]

or,        [tex]\sigma = \epsilon_{o} E[/tex]

Therefore, charge will be calculated as follows.

          Q = [tex]\sigma \times A = \epsilon_{o} E \times A[/tex]

             = [tex]8.854 \times 10^{-12} \times 55 \times 0.7[/tex]

             = [tex]3.41 \times 10^{-10} C[/tex]

             = 341 pC

Thus, we can conclude that magnitude of the charge on each plate is 341 pC.